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e so x y. D p The Weak Axiom of Revealed Preference (WARP) x2 x1 x y These statements are inconsistent with each other. x is chosen when y is available so x y. y is chosen when x is available so y x. D p D p The Strong Axiom of Revealed Preference (SARP) If the bundle x is revealed (directly or indirectly) as preferred to the bundle y and x ? y, then it is never the case that the y is revealed (directly or indirectly) as preferred to x。 . x y or x y not ( y x or y x ). D p D p I p I p The Strong Axiom of Revealed Preference That the observed choice data satisfy the SARP is a condition necessary and sufficient for there to be a wellbehaved preference relation that “rationalizes” the data. Suppose we have the choice data satisfy the SARP, then we can discover approximately where are the consumer’s indifference curves